WASHINGTON (AP) - Another President Bush?

Perhaps so, says former President George H.W. Bush, who has already seen one son, George W., serve in the Oval Office. The nation's 41st president said Sunday that he would like to see a second son, Jeb, be president one day.

Jeb Bush is the current president's younger brother and a former popular governor of Florida. He is mulling a run for Senate seat being vacated by Sen. Mel Martinez, R-Fla.

Asked in a broadcast interview about Jeb Bush's consideration of the Senate seat, Bush 41 said: "I'd like to see him run. I'd like to see him be president someday."

When asked if he was serious, he said: "Or maybe senator. Whatever. Yes, I would. I mean, right now is probably a bad time, because we've had enough Bushes in there. But no, I would. And I think he's as qualified and able as anyone I know on the political scene. Now, you've got to discount that. He's my son."

The former president spoke on "Fox News Sunday" in an interview that was taped Friday in Houston.

He will be at the White House on Wednesday for a lunch with President George W. Bush, President-elect Barack Obama and former Presidents Bill Clinton and Jimmy Carter.

The senior Bush said he does not plan to offer advice to Obama and mainly wants to wish him well. "I talked to him right after the election and did that then, assured him that he was my president," Bush said.

The former president also plans to go skydiving once again, in June, to mark his 85th birthday. He will do so in tandem with an expert. "Just because you're an old guy, you don't need to sit around sucking your thumb drooling in the corner," he said. "Old guys can still do stuff, and that's the main reason."